A four-digit code leaves three traces: a sum, a multiple, and what happens when you read it backwards. Three conditions for a single number.

The code with checksum and reverse

Master
Numerical territory

Riddle statement

A code has four different figures.

It is known that:

  • is a multiple of 9;
  • the last figure is the remainder by dividing the sum of the first three by 10;
  • By reversing the order of its figures, the number obtained exceeds the original by 369 units.

What is the code?